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152775468 = 22325380071
BaseRepresentation
bin10010001101100…
…10101100101100
3101122110210112200
421012302230230
5303102303333
623054301500
73533366346
oct1106625454
9348423480
10152775468
117926851a
12431b7890
13258612b1
141640c296
15d62bc13
hex91b2b2c

152775468 has 36 divisors (see below), whose sum is σ = 393473808. Its totient is φ = 49963680.

The previous prime is 152775439. The next prime is 152775473. The reversal of 152775468 is 864577251.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38128 + ... + 41943.

It is an arithmetic number, because the mean of its divisors is an integer number (10929828).

Almost surely, 2152775468 is an apocalyptic number.

152775468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

152775468 is an abundant number, since it is smaller than the sum of its proper divisors (240698340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152775468 is a wasteful number, since it uses less digits than its factorization.

152775468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80134 (or 80129 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 152775468 is about 12360.2373763613. The cubic root of 152775468 is about 534.5863609161.

The spelling of 152775468 in words is "one hundred fifty-two million, seven hundred seventy-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 80071 160142 240213 320284 480426 720639 960852 1441278 2882556 4243763 8487526 12731289 16975052 25462578 38193867 50925156 76387734 152775468